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Convex geometries are closure systems satisfying the anti-exchange axiom.
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K. Adaricheva and M. Wild, Realization of Abstract Convex Geometries by Point Configurations
K. Adaricheva, Private communication with G. Czédli, January 2013
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K. Adaricheva and J.B. Nation, Bases of closure systems
2016
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2010
Cited alongside, same era.